Show that each of the relation R in the set A={x∈Z:0≤x≤12}, given by
(i) R={(a,b):|a−b| is a multiple of 4}
(ii) R={(a,b):a=b}is an equivalence relation.
Find the set of all elements related to 1 in each case.

Question

02-07-2024
Mathematics

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Show that each of the relation R in the set A={x∈Z:0≤x≤12}, given by
(i) R={(a,b):|a−b| is a multiple of 4}
(ii) R={(a,b):a=b}is an equivalence relation.
Find the set of all elements related to 1 in each case.

Sagot :

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